Ground states of quasilattice-gas models

We introduce quasilattice-gas models in which every vertex of certain two-dimensional grids can be occupied by one of two different types of particles interacting through Lennard–Jones potentials. Such grids are quasiperiodic analogs of regular lattices present in periodic systems. To find ground-state configurations of our models, we performed Monte Carlo simulations and obtained structures with local five-fold symmetries and five-fold diffraction patterns.